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Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of $A_1$ solutions

Ch. Devchand·A. N. Leznov
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Abstract

We present a Bäcklund transformation (a discrete symmetry transformation) for the self-duality equations for supersymmetric gauge theories in N-extended super-Minkowski space ${\cal M}^{4|4N}$ for an arbitrary semisimple gauge group. For the case of an $A_1$ gauge algebra we integrate the transformation starting with a given solution and iterating the process we construct a hierarchy of explicit solutions.

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Ch. Devchand, A. N. Leznov. 1993-01-24. Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of $A_1$ solutions. https://doi.org/10.1007/bf02173429

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